Vol. 15, No. 2, 2022
Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 10, 3371–3670
Issue 9, 2997–3369
Issue 8, 2619–2996
Issue 7, 2247–2618
Issue 6, 1871–2245
Issue 5, 1501–1870
Issue 4, 1127–1500
Issue 3, 757–1126
Issue 2, 379–756
Issue 1, 1–377

Volume 16, 10 issues

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1948-206X (online)
ISSN 2157-5045 (print)
 
Author index
To appear
 
Other MSP journals
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains

Louis Dupaigne and Alberto Farina
Vol. 15 (2022), No. 2, 551–566
DOI: 10.2140/apde.2022.15.551
Abstract

We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10 and in some unbounded domains of dimension at most 11.

Keywords
semilinear elliptic PDEs, Liouville-type theorems, stable solutions
Mathematical Subject Classification
Primary: 35J15
Milestones
Received: 25 May 2020
Revised: 3 August 2020
Accepted: 6 October 2020
Published: 12 April 2022
Authors
Louis Dupaigne
Institut Camille Jordan
UMR CNRS 5208
Université Claude Bernard Lyon 1
Villeurbanne
France
Alberto Farina
LAMFA, UMR CNRS 7352
Université Picardie Jules Verne
Amiens
France